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The Prisoner's dilemma is the main game theoretical framework in which the onset and maintainance of cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of cooperation in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Mendeli H. Vainstein , Jeferson J. Arenzon

This paper investigates how natural language communication with an AI agent affects human cooperative behaviour in indefinitely repeated Prisoner's Dilemma games. We conduct a laboratory experiment (n = 126) with two between-subjects…

General Economics · Economics 2026-03-18 Chowdhury Mohammad Sakib Anwar , Konstantinos Georgalos

Punishment may deter antisocial behavior. Yet to punish is costly, and the costs often do not offset the gains that are due to elevated levels of cooperation. However, the effectiveness of punishment depends not only on how costly it is,…

Populations and Evolution · Quantitative Biology 2013-06-04 Luo-Luo Jiang , Matjaz Perc , Attila Szolnoki

Indirect punishment traditionally sustains cooperation in social systems through reputation or norms, often by reducing defectors' payoffs indirectly. In this study, we redefine indirect punishment for structured populations as a spatially…

Physics and Society · Physics 2025-06-04 Yujia Wen , Zhixue He , Chen Shen , Jun Tanimoto

We investigate two paradigms for studying the evolution of cooperation--Prisoner's Dilemma and Snowdrift game in an online friendship network obtained from a social networking site. We demonstrate that such social network has small-world…

Physics and Society · Physics 2009-11-13 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

We study co-evolutionary Prisoner's Dilemma games where each player can imitate both the strategy and imitation rule from a randomly chosen neighbor with a probability dependent on the payoff difference when the player's income is collected…

Physics and Society · Physics 2009-11-04 Gyorgy Szabo , Attila Szolnoki , Jeromos Vukov

We study the evolutionary Prisoner's Dilemma on two social networks obtained from actual relational data. We find very different cooperation levels on each of them that can not be easily understood in terms of global statistical properties…

Physics and Society · Physics 2016-09-08 Sergi Lozano , Alex Arenas , Angel Sanchez

Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

Populations and Evolution · Quantitative Biology 2011-03-29 M. I. Shehata

The prisoner's dilemma (PD) game is a simple model for understanding cooperative patterns in complex systems consisting of selfish individuals. Here, we study a PD game problem in scale-free networks containing hierarchically organized…

Physics and Society · Physics 2015-05-19 C. -K. Yun , N. Masuda , B. Kahng

This paper studies a two-player game in which the players face uncertainty regarding the nature of their partner. In this variation of the standard Prisoner's Dilemma, players may encounter an 'honest' type who always cooperates.…

Theoretical Economics · Economics 2025-09-12 Georgy Lukyanov , David Li

Pro-social punishment, whereby cooperators punish defectors, is often suggested as a mechanism that maintains cooperation in large human groups. Importantly, models that support this idea have to date only allowed defectors to be the target…

Populations and Evolution · Quantitative Biology 2015-03-20 Simon T. Powers , Daniel J. Taylor , Joanna J. Bryson

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

We have studied an evolutionary prisoner's dilemma game with players located on two types of random regular graphs with a degree of 4. The analysis is focused on the effects of payoffs and noise (temperature) on the maintenance of…

Statistical Mechanics · Physics 2009-11-11 Jeromos Vukov , György Szabó , Attila Szolnoki

We study a spatial two-strategy (cooperation and defection) Prisoner's Dilemma game with two types ($A$ and $B$) of players located on the sites of a square lattice. The evolution of strategy distribution is governed by iterated strategy…

Physics and Society · Physics 2009-01-15 Gyorgy Szabo , Attila Szolnoki

Prosocial behaviours have been extensively studied across multiple disciplines. Cooperation, requiring a personal cost for collective benefits, is widespread in nature and human society, having been explained through mechanisms such as kin…

Populations and Evolution · Quantitative Biology 2025-07-08 M. H. Duong , C. M. Durbac , T. A. Han

Anonymous online business environments have a social dilemma situation in it. A dilemma on whether to cooperate or Defect. Defection by a buyer to seller and/or seller to buyer might give each a better profit at the cost of the loss of…

Computer Science and Game Theory · Computer Science 2013-05-15 Sanat Kumar Bista , Keshav P. Dahal , Peter I. Cowling , Bhadra Man Tuladhar

The 2 x 2 games, in particular the Prisoner's Dilemma, have been extensively used in studies into reciprocal cooperation and, to a lesser extent, kin selection. This paper examines the suitability of the 2 x 2 games for modelling the…

Computer Science and Game Theory · Computer Science 2007-05-23 James A. R. Marshall

Humans and other animals can adapt their social behavior in response to environmental cues including the feedback obtained through experience. Nevertheless, the effects of the experience-based learning of players in evolution and…

Populations and Evolution · Quantitative Biology 2011-04-05 Naoki Masuda , Mitsuhiro Nakamura

An evolutionary prisoner's dilemma (PD) game is studied with players located on a hierarchical structure of layered square lattices. The players can follow two strategies [D (defector) and C (cooperator)] and their income comes from PD…

Statistical Mechanics · Physics 2009-11-10 Jeromos Vukov , Gyorgy Szabo

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

Populations and Evolution · Quantitative Biology 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund